Atkin-Lehner |
2- 3- 5+ 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
114390bo |
Isogeny class |
Conductor |
114390 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
25034197686825960 = 23 · 318 · 5 · 312 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 6 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3223283,2228179947] |
[a1,a2,a3,a4,a6] |
Generators |
[1041:-316:1] |
Generators of the group modulo torsion |
j |
5080323532135375993321/34340463219240 |
j-invariant |
L |
10.136277053314 |
L(r)(E,1)/r! |
Ω |
0.3373552109079 |
Real period |
R |
2.5038586135997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044613 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38130i2 |
Quadratic twists by: -3 |